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Finding the Third Proportional to 299,806 and 642,116

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Solution

The third proportional to 299,806 and 642,116 is: 1,375,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,806 : 642,116 = 642,116 : x
  2. Step 2: Convert to fraction form
    299,806/642,116 = 642,116/x
  3. Step 3: Cross multiply
    299,806x = 642,116 × 642,116
  4. Step 4: Simplify right side
    299,806x = 412,312,957,456
  5. Step 5: Solve for x
    x = 412,312,957,456/299,806
  6. Step 6: Final answer
    x = 1,375,265.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.